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Published October 20, 2010 | public
Journal Article

Scale Invariance vs Conformal Invariance from Holography

Nakayama, Yu

Abstract

The relation between scale invariance and conformal invariance is a subtle but important unsolved problem in the quantum field theory. We study a holographic approach to this problem and show that the null energy condition in the bulk effective gravitational theories guarantees the equivalence between the scale invariance and conformal invariance of the boundary theories. We also investigate the higher-dimensional compactification, where the warping can generate additional possible violation of the conformal invariance. Our discussion is applicable in any dimension, and suggests a generalization of Zamolodchikov Polchinski theorem that states the equivalence in (1+1) dimension from the purely field theory viewpoint.

Additional Information

© 2010 World Scientific Publishing Company. Received 1 September 2010. The work was supported in part by the National Science Foundation under Grant No. PHY05-55662 and the UC Berkeley Center for Theoretical Physics.

Additional details

Created:
August 22, 2023
Modified:
October 20, 2023